The phrase "authorities complaining" is correct and usable in written English.
It can be used when discussing situations where officials or governing bodies express dissatisfaction or grievances about a particular issue.
Example: "The authorities complaining about the lack of resources have prompted a review of the budget allocations."
Alternatives: "officials expressing concerns" or "regulators voicing discontent".
The medical examiner's office sent a letter to Nebraska health authorities complaining of Dr. Fleming's action.
But she also wrote to the French authorities, complaining formally about their failure to write minimum E.U. guarantees — which would provide safeguards for those expelled — into France's law.
An official magazine, Oriental Outlook, said in December that last year saw a "flood" of petitions submitted by citizens to the central authorities complaining about official wrongdoing or judicial failings.
The note, which began with the sniper's code phrase, "Call me God," expressed frustration with the sniper's inability to contact the authorities, complaining that police and F.B.I. hot lines, a Roman Catholic priest and CNN had not taken his calls seriously.
Cultural analyst Nyairo as well as poet, blogger, and performer Njeri Wangari demanded an official explanation from authorities, complaining about what they saw as a waste of an international stage.
Seychelles authorities complain that the pirates have significantly undermined the country's fishing industry.
"She's had enough of the Dutch authorities," complained her lawyer, Peter de Lange, this week.
Authorities complain about the enormous cost, still woefully underfunded, of looking after millions of people who suddenly have nothing.
However, the Serbian authorities complain that the Western media have made no attempt to discover what the conditions are like in camps on the other side.
In 1973, federal and Ohio securities authorities complained that his church was selling unregistered securities to the faithful and not telling them that the cathedral lacked funds to insure repayment.
"The overall tone, without making any judgment as to intent, is paternalistic and frequently uses the style and jargon of the Israeli occupation authorities," complained a memo by the PA's negotiations support unit reviewing his proposals.
